Question 231967
Use the sum or difference identities to find the exact value of sin 105 degrees.
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sin(A+B) = sin(A)cos(B) + sin(B)cos(A)
sin(105) = sin(45 + 60)
= {{{(sqrt(2)/2)*1/2 + (sqrt(3)/2)*sqrt(2)/2}}}
= {{{sqrt(2)/4 + sqrt(6)/4}}}
= {{{(sqrt(2) + sqrt(6))/4}}}